7L 7s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖6L 6s↑7L 6s 8L 6s↗
←6L 7s7L 7s8L 7s→
↙6L 8s↓7L 8s 8L 8s↘
Brightest mode LsLsLsLsLsLsLs
Period 1\7
Range for bright generator 1\14 (85.7¢) to 1\7 (171.4¢)
Range for dark generator 0\7 (0¢) to 1\14 (85.7¢)
Parent MOS none
Sister MOS 7L 7s
Daughter MOSes 14L 7s, 7L 14s
Equal tunings
Supersoft (L:s = 4:3) 4\49 (98¢)
Soft (L:s = 3:2) 3\35 (102.9¢)
Semisoft (L:s = 5:3) 5\56 (107.1¢)
Basic (L:s = 2:1) 2\21 (114.3¢)
Semihard (L:s = 5:2) 5\49 (122.4¢)
Hard (L:s = 3:1) 3\28 (128.6¢)
Superhard (L:s = 4:1) 4\35 (137.1¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard

7L 7s is an octave-equivalent moment of symmetry scale containing 7 large steps and 7 small steps, with a period of 1 large step and 1 small step that repeats every 171.4¢ or 7 times every octave. Generators that produce this scale range from 85.7¢ to 171.4¢, or from 0¢ to 85.7¢. Scales of this form are proper if every period is the same, because there is only one small step per period.

This is the Whitewood chromatic scale. Its generator modulo the 7edo third is no greater than 1/14edo (85.714¢).

0/7 0
1/42 28.571
4/161 29.814
3/119 30.252
2/77 31.169
3/112 32.143
4/147 32.653
1/35 34.286
5/168 35.714
4/133 36.09
3/98 36.633
5/161 37.019
2/63 38.095
3/91 39.56
4/119 40.336
5/147 40.816
6/175 41.143
41.392
1/28 42.857
10/273 43.956
9/245 44.082
8/217 44.24
7/189 44.444
6/161 44.7205
5/133 45.113
4/105 45.714
46.104
3/77 46.753
47.382
5/126 47.619
2/49 48.98
9/217 49.77
7/168 50
5/119 50.42
3/70 51.429
4/91 52.727
5/112 53.571
6/133 54.135
7/154 54.5455
8/175 54.857
9/196 55.102
10/217 55.2995
11/238 55.462
12/259 55.5985
13/280 55.714
14/301 55.814
15/322 55.901
16/343 55.977
17/364 56.044
1/21 57.143
11/224 58.929
10/203 59.113
9/182 59.341
8/161 59.677
7/140 60
6/119 60.504
11/217 60.8295
16/315 60.952
21/413 61.017
5/98 62.041
4/77 62.338
62.747
7/133 63.158
3/56 64.286
65.48
5/91 65.934
7/126 66.667
66.683
9/161 67.143
2/35 68.286
11/189 69.856
9/154 70.13
7/119 70.588
5/84 71.429
8/133 72.1805
3/49 73.469
10/161 74.543
7/112 75
4/63 76.1905
1/14 85.714